On the convergence of open Newton’s method

Abstract Cordero and Torregrosa proved the convergence of two Newton’s-like methods in 2007. Using Taylor expansion (requiring existence of derivatives of order up to four of the involved operator) they obtained the convergence order three for these methods. The convergence order three is obtained f...
Ausführliche Beschreibung

Gespeichert in:
Autor*in:

Kunnarath, Ajil [verfasserIn]

George, Santhosh

Sadananda, Ramya

Padikkal, Jidesh

Argyros, Ioannis K.

Format:

E-Artikel

Sprache:

Englisch

Erschienen:

2023

Schlagwörter:

Banach space

Fréchet derivative

Order of convergence

Open Newton’s method

Anmerkung:

© The Author(s), under exclusive licence to The Forum D’Analystes 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Übergeordnetes Werk:

Enthalten in: The journal of analysis - Madras : Forum, 1993, 31(2023), 4 vom: 26. Apr., Seite 2473-2500

Übergeordnetes Werk:

volume:31 ; year:2023 ; number:4 ; day:26 ; month:04 ; pages:2473-2500

Links:

Volltext

DOI / URN:

10.1007/s41478-023-00572-9

Katalog-ID:

SPR053843118

Nicht das Richtige dabei?

Schreiben Sie uns!